Optimal Fluctuations and Tail States of non-Hermitian Operators

Details Optimal Fluctuations and Tail States of non-Hermitian Operators Optimal Fluctuations and Tail States of non-Hermitian Operators

1999-10-11

arxiv.org/abs/cond-mat/9910163v1

Physics

Condensed Matter

4 pages, 2 figures, to appear in PRL

Scientific paper

10.1103/PhysRevLett.83.4373

We develop a general variational approach to study the statistical properties
of the tail states of a wide class of non-Hermitian operators. The utility of
the method, which is a refinement of the instanton approach introduced by
Zittartz and Langer, is illustrated in detail by reference to the problem of a
quantum particle propagating in an imaginary scalar potential.

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